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Finding the Fourth Proportional to 105.59, 145.62 and 72.32

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Solution

The fourth proportional to 105.59, 145.62 and 72.32 is: 99.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 145.62 = 72.32 : x
  2. Step 2: Convert to fraction form
    105.59/145.62 = 72.32/x
  3. Step 3: Cross multiply
    105.59x = 145.62 × 72.32
  4. Step 4: Simplify right side
    105.59x = 10,531.24
  5. Step 5: Solve for x
    x = 10,531.24/105.59
  6. Step 6: Final answer
    x = 99.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.